Are you, for instance, talking about viewing a page of text through a fish tank or a thick pane of glass and noticing that the position of the [image of the] text seems displaced to the right when viewing through a tank slanted away to the right and is displaced to the left when viewing through a tank that is slanted away to the left?
It seems that you are. No, the speed of light in a particular type of glass is what it is, independent of the angle of incidence.
Read up on Snell's law. Do the trigonometry. Draw some lines and see what happens. One intuitive approach is to note that when the light impacts perpendicular to the surface there is no displacement and that when it impacts at any other angle there is. Obviously there will be a smooth curve that describes the offset as a function of refractive index, angle of incidence and block thickness that matches these simple observations. None of this requires a variation in speed of light according to angle of incidence.